The Hamiltonian Structure-Preserving Control and Some Applications to Nonlinear Astrodynamics

Figure 13

Stable regions of the controller in the (𝐺₊-𝐺₋) space: the hyperbolic-like curve 𝐶₁ is the boundary keeping the topological type of the equilibrium elliptic; the line-like curve 𝐶₂ is the boundary keeping the Floquet multipliers lying on the unit circle in the complex plane; the closed curves labeled by numbers are contour curves of the averaging values of 𝜅; the circle 𝐶₃ is the approximation of the contour curve.